Mathematics Education PDF
By:Lyn D. English,Graeme S. Halford
Published on 1995 by Routledge
To define better techniques of mathematics education, this book combines a knowledge of cognitive science with mathematics curriculum theory and research. The concept of the human reasoning process has been changed fundamentally by cognitive science in the last two decades. The role of memory retrieval, domain-specific and domain-general skills, analogy, and mental models is better understood now than previously. The authors believe that cognitive science provides the most accurate account thus far of the actual processes that people use in mathematics and offers the best potential for genuine increases in efficiency. As such, they suggest that a cognitive science approach enables constructivist ideas to be analyzed and further developed in the search for greater understanding of children's mathematical learning. Not simply an application of cognitive science, however, this book provides a new perspective on mathematics education by examining the nature of mathematical concepts and processes, how and why they are taught, why certain approaches appear more effective than others, and how children might be assisted to become more mathematically powerful. The authors use recent theories of analogy and knowledge representation -- combined with research on teaching practice -- to find ways of helping children form links and correspondences between different concepts, so as to overcome problems associated with fragmented knowledge. In so doing, they have capitalized on new insights into the values and limitations of using concrete teaching aids which can be analyzed in terms of analogy theory. In addition to addressing the role of understanding, the authors have analyzed skill acquisition models in terms of their implications for the development of mathematical competence. They place strong emphasis on the development of students' mathematical reasoning and problem solving skills to promote flexible use of knowledge. The book further demonstrates how children have a number of general problem solving skills at their disposal which they can apply independently to the solution of novel problems, resulting in the enhancement of their mathematical knowledge.
This Book was ranked at 5 by Google Books for keyword education theories and models.
Book ID of Mathematics Education's Books is avxFZjIwv8IC, Book which was written byLyn D. English,Graeme S. Halfordhave ETAG "irHI2oFpKwU"
Book which was published by Routledge since 1995 have ISBNs, ISBN 13 Code is 9780805814576 and ISBN 10 Code is 0805814574
Reading Mode in Text Status is false and Reading Mode in Image Status is true
Book which have "360 Pages" is Printed at BOOK under CategoryEducation
Book was written in en
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